137550 has 48 divisors (see below), whose sum is σ = 392832. Its totient is φ = 31200.

The previous prime is 137537. The next prime is 137567. The reversal of 137550 is 55731.

It is a happy number.

137550 is a nontrivial binomial coefficient, being equal to C(525, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

137550 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2¹³⁷⁵⁵⁰ is an apocalyptic number.

137550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137550 is the 524-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

137550 is an abundant number, since it is smaller than the sum of its proper divisors (255282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137550 is a wasteful number, since it uses less digits than its factorization.

137550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 137550 is about 370.8773382131. The cubic root of 137550 is about 51.6202612578.

Adding to 137550 its product of nonzero digits (525), we get a triangular number (138075 = T₅₂₅).

137550 divided by its product of nonzero digits (525) gives a palindrome (262).

The spelling of 137550 in words is "one hundred thirty-seven thousand, five hundred fifty".